Question

A researcher conducts a one-way ANOVA comparing satisfaction scores for three groups of patients: in OSF, in BroMenn, an in a nursing home. Possible scores on the satisfaction scale range from 20 to 80 points. Descriptive statistics for the three groups are presented below

OSF             BroMenn        Nursing Home     
X-bar=50.3    X-bar=41.4       X-bar=39.5

SD= 23.2       SD=26.8            SD=28.2

a) Suppose that the results of ANOVA came out to be significant and one of the questions the researcher was specifically interested in answering was if which groups had significantly differs from which. What would she use to answer her question? (6 point)

b) What would significant results from b) indicate? Comment in relation to hypotheses (4 points)

Answer 1

Solution:

Given data

Descriptive statistics for the three groups are presented below

OSF BroMenn Nursing Home
X-bar=50.3 X-bar=41.4 X-bar=39.5

SD= 23.2 SD=26.8    SD=28.2

a) Suppose that the results of ANOVA came out to be significant and one of the questions the researcher was specifically interested in answering was if which groups had significantly differs from which. What would she use to answer her question?

Answer:

Suppose that the results of ANOVA came out to be significant and one of the questions the researcher was specifically interested in answering was if which groups had significantly differs from which. In such a case, Tuckey HSD is applied to locate the particulat sets  of hospitals that differ significantly.

b) What would significant results from b) indicate? Comment in relation to hypotheses

Answer:

Significant results from Tuckey HSD will show  that sets  of hospitals which significantly differ in the satisfaction scores.